13945119300 has 288 divisors, whose sum is σ = 52429977600. Its totient is φ = 3113147520.

The previous prime is 13945119299. The next prime is 13945119311. The reversal of 13945119300 is 391154931.

13945119300 is a `hidden beast` number, since 13 + 9 + 451 + 193 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 804121 + ... + 821279.

Almost surely, 2^13945119300 is an apocalyptic number.

13945119300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13945119300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26214988800).

13945119300 is an abundant number, since it is smaller than the sum of its proper divisors (38484858300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13945119300 is a wasteful number, since it uses less digits than its factorization.

13945119300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17232 (or 17219 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 13945119300 in words is "thirteen billion, nine hundred forty-five million, one hundred nineteen thousand, three hundred".